Report of the fit

Fit summary

Description: PV19 version x
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: False
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2 N_1 \alpha \sigma \lambda N_{1B} \alpha_B \sigma_B g_{2B}
0.03929225337166122 0.4585030605651706 0.2047307296278494 0.39219414364312494 0.5466961452424751 0.03936952389514996 0.06685346557972836 0.35528288710185424 0.010173598239098757

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: N3LL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 203
\chi_{0}^2 = 1.0705
\chi_{mean}^2 = 1.0197
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.094 \pm 0.0119
\langle E \rangle \pm \sigma_{E} = 2.0947 \pm 0.161

Parameters

Parameter Central replica Average over replicas Fixed
g_2 0.037923106 0.03621274 \pm 0.00860477 False
N_1 0.51881393 0.62481322 \pm 0.28221709 False
\alpha 0.20314198 0.20644958 \pm 0.00983289 False
\sigma 0.37327219 0.37011055 \pm 0.06267228 False
\lambda 0.57973261 0.5797666 \pm 0.09166202 False
N_{1B} 0.039554376 0.0443336 \pm 0.0122624 False
\alpha_B 0.067696657 0.06890795 \pm 0.00895598 False
\sigma_B 0.36307837 0.35625572 \pm 0.07538985 False
g_{2B} 0.011221607 0.01156522 \pm 0.00302411 False
Fitted parameter correlation matrix

Fit properties

Global \chi^2 distribution
Global error function distribution
g_2 distribution
N_1 distribution
\alpha distribution
\sigma distribution
\lambda distribution
N_{1B} distribution
\alpha_B distribution
\sigma_B distribution
g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.669 0.0076 0.6766
E605_Q_8_9 8 1.5169 0.0046 1.5215
E605_Q_10.5_11.5 10 0.3414 0.1726 0.5139
E605_Q_11.5_13.5 12 0.7995 0.4912 1.2908
E605_Q_13.5_18 13 1.4071 0.6099 2.0171
E288_200_Q_4_5 4 0.5246 0.8428 1.3674
E288_200_Q_5_6 5 1.364 0.2684 1.6324
E288_200_Q_6_7 6 0.2594 0.1346 0.3939
E288_200_Q_7_8 7 0.4043 0.0047 0.409
E288_200_Q_8_9 8 0.5483 0.044 0.5923
E288_300_Q_4_5 4 0.4666 0.5624 1.0291
E288_300_Q_5_6 5 0.7551 0.1563 0.9114
E288_300_Q_6_7 6 0.4136 0.0334 0.447
E288_300_Q_7_8 7 0.0881 0.0142 0.1023
E288_300_Q_8_9 8 0.5524 0.0035 0.5559
E288_300_Q_11_12 9 0.3573 0.2477 0.6051
E288_400_Q_5_6 5 0.2659 0.0093 0.2752
E288_400_Q_6_7 6 0.0789 0.0004 0.0793
E288_400_Q_7_8 7 0.021 0.0216 0.0426
E288_400_Q_8_9 8 0.4131 0.0486 0.4617
E288_400_Q_11_12 11 0.5099 0.0534 0.5633
E288_400_Q_12_13 12 0.4894 0.0484 0.5377
E288_400_Q_13_14 12 0.5916 0.0931 0.6847
STAR_510 7 0.8905 0.0328 0.9233
CDF_RunI 25 0.5329 0.0562 0.5891
CDF_RunII 26 0.8728 0.0028 0.8756
D0_RunI 12 0.6251 0.0461 0.6712
D0_RunII 5 1.1341 0.605 1.7391
D0_RunIImu 3 3.2816 0.0276 3.3093
LHCb_7TeV 7 1.125 0.1572 1.2823
LHCb_8TeV 7 0.5407 0.0839 0.6246
LHCb_13TeV 7 0.7863 0.0219 0.8082
CMS_7TeV 4 2.1253 0 2.1253
CMS_8TeV 4 1.4284 0.0061 1.4346
ATLAS_7TeV_y_0_1 6 2.6516 0.0299 2.6814
ATLAS_7TeV_y_1_2 6 4.2049 1.034 5.239
ATLAS_7TeV_y_2_2.4 6 3.5142 0.3819 3.8961
ATLAS_8TeV_y_0_0.4 6 2.0046 0.3549 2.3594
ATLAS_8TeV_y_0.4_0.8 6 2.2023 0.2704 2.4726
ATLAS_8TeV_y_0.8_1.2 6 0.8917 0.0636 0.9553
ATLAS_8TeV_y_1.2_1.6 6 0.9147 0.101 1.0157
ATLAS_8TeV_y_1.6_2 6 0.611 0.0787 0.6897
ATLAS_8TeV_y_2_2.4 6 0.7221 0.2993 1.0213
ATLAS_8TeV_Q_46_66 4 2.3037 0.6971 3.0007
ATLAS_8TeV_Q_116_150 8 0.4959 0.0029 0.4988
Total 353 - - 1.0705
Mean-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.4192 0.0676 0.4868
E605_Q_8_9 8 0.9947 0.0338 1.0285
E605_Q_10.5_11.5 10 0.1911 0.1373 0.3284
E605_Q_11.5_13.5 12 0.4908 0.2839 0.7747
E605_Q_13.5_18 13 0.4912 0.3855 0.8767
E288_200_Q_4_5 4 0.2132 0.6485 0.8617
E288_200_Q_5_6 5 0.6733 0.2916 0.9649
E288_200_Q_6_7 6 0.1334 0.1412 0.2746
E288_200_Q_7_8 7 0.2543 0.0138 0.2681
E288_200_Q_8_9 8 0.6522 0.0242 0.6764
E288_300_Q_4_5 4 0.2307 0.5547 0.7854
E288_300_Q_5_6 5 0.5024 0.2039 0.7063
E288_300_Q_6_7 6 0.3153 0.0627 0.378
E288_300_Q_7_8 7 0.0555 0.0301 0.0856
E288_300_Q_8_9 8 0.5299 0.0169 0.5468
E288_300_Q_11_12 9 1.0472 0.1675 1.2146
E288_400_Q_5_6 5 0.3122 0.0652 0.3773
E288_400_Q_6_7 6 0.0999 0.0046 0.1045
E288_400_Q_7_8 7 0.0179 0.0112 0.0292
E288_400_Q_8_9 8 0.4375 0.0392 0.4767
E288_400_Q_11_12 11 0.6371 0.0362 0.6732
E288_400_Q_12_13 12 0.7879 0.0279 0.8158
E288_400_Q_13_14 12 1.0635 0.0436 1.1071
STAR_510 7 0.782 0.0538 0.8358
CDF_RunI 25 0.4798 0.058 0.5377
CDF_RunII 26 0.9586 0.0007 0.9593
D0_RunI 12 0.7108 0.0426 0.7534
D0_RunII 5 1.3252 0.6119 1.9371
D0_RunIImu 3 3.1957 0.0226 3.2183
LHCb_7TeV 7 1.0689 0.1942 1.263
LHCb_8TeV 7 0.4598 0.0748 0.5346
LHCb_13TeV 7 0.735 0.0199 0.7549
CMS_7TeV 4 2.1314 0 2.1314
CMS_8TeV 4 1.4053 0.0071 1.4124
ATLAS_7TeV_y_0_1 6 2.5807 0.0281 2.6088
ATLAS_7TeV_y_1_2 6 4.3332 1.0317 5.365
ATLAS_7TeV_y_2_2.4 6 3.5606 0.3781 3.9386
ATLAS_8TeV_y_0_0.4 6 1.9243 0.3374 2.2616
ATLAS_8TeV_y_0.4_0.8 6 2.3423 0.2473 2.5896
ATLAS_8TeV_y_0.8_1.2 6 0.917 0.0608 0.9778
ATLAS_8TeV_y_1.2_1.6 6 0.9116 0.0945 1.0061
ATLAS_8TeV_y_1.6_2 6 0.7211 0.0925 0.8136
ATLAS_8TeV_y_2_2.4 6 0.9322 0.3482 1.2805
ATLAS_8TeV_Q_46_66 4 2.1376 0.745 2.8826
ATLAS_8TeV_Q_116_150 8 0.5006 0.0034 0.504
Total 353 - - 1.0197
Average-over-replicas \chi^2’s:
Experiment Number of points \chi^2
E605_Q_7_8 7 0.6923 \pm 0.1051
E605_Q_8_9 8 1.5366 \pm 0.2235
E605_Q_10.5_11.5 10 0.5526 \pm 0.0707
E605_Q_11.5_13.5 12 1.3868 \pm 0.1114
E605_Q_13.5_18 13 2.0448 \pm 0.1111
E288_200_Q_4_5 4 1.4317 \pm 0.2871
E288_200_Q_5_6 5 1.6681 \pm 0.1951
E288_200_Q_6_7 6 0.4153 \pm 0.0841
E288_200_Q_7_8 7 0.4252 \pm 0.1424
E288_200_Q_8_9 8 0.6013 \pm 0.0674
E288_300_Q_4_5 4 1.0873 \pm 0.2658
E288_300_Q_5_6 5 0.9425 \pm 0.1367
E288_300_Q_6_7 6 0.4611 \pm 0.1291
E288_300_Q_7_8 7 0.1152 \pm 0.0447
E288_300_Q_8_9 8 0.5761 \pm 0.1005
E288_300_Q_11_12 9 0.6082 \pm 0.0286
E288_400_Q_5_6 5 0.3165 \pm 0.0805
E288_400_Q_6_7 6 0.1108 \pm 0.0304
E288_400_Q_7_8 7 0.0818 \pm 0.0537
E288_400_Q_8_9 8 0.5044 \pm 0.082
E288_400_Q_11_12 11 0.595 \pm 0.1376
E288_400_Q_12_13 12 0.5698 \pm 0.0392
E288_400_Q_13_14 12 0.6966 \pm 0.0513
STAR_510 7 0.9304 \pm 0.0466
CDF_RunI 25 0.5917 \pm 0.0158
CDF_RunII 26 0.8965 \pm 0.066
D0_RunI 12 0.6707 \pm 0.028
D0_RunII 5 1.7018 \pm 0.2229
D0_RunIImu 3 3.2127 \pm 0.4425
LHCb_7TeV 7 1.2814 \pm 0.0368
LHCb_8TeV 7 0.6692 \pm 0.1276
LHCb_13TeV 7 0.8452 \pm 0.0693
CMS_7TeV 4 2.128 \pm 0.0091
CMS_8TeV 4 1.4324 \pm 0.0513
ATLAS_7TeV_y_0_1 6 2.707 \pm 0.2419
ATLAS_7TeV_y_1_2 6 5.2871 \pm 0.0938
ATLAS_7TeV_y_2_2.4 6 3.9159 \pm 0.1081
ATLAS_8TeV_y_0_0.4 6 2.3637 \pm 0.1339
ATLAS_8TeV_y_0.4_0.8 6 2.5022 \pm 0.0868
ATLAS_8TeV_y_0.8_1.2 6 0.9942 \pm 0.0849
ATLAS_8TeV_y_1.2_1.6 6 1.0378 \pm 0.1538
ATLAS_8TeV_y_1.6_2 6 0.8048 \pm 0.2414
ATLAS_8TeV_y_2_2.4 6 1.0539 \pm 0.2233
ATLAS_8TeV_Q_46_66 4 2.9948 \pm 0.1166
ATLAS_8TeV_Q_116_150 8 0.5023 \pm 0.0081
Total 353 1.094 \pm 0.0119

TMDs in k_T space

TMD PDF of the d at Q = 2 GeV and x = 0.001
TMD PDF of the d at Q = 2 GeV and x = 0.01
TMD PDF of the d at Q = 2 GeV and x = 0.1
TMD PDF of the d at Q = 2 GeV and x = 0.5
TMD PDF of the d at Q = 2 GeV and x = 0.9

Data-theory comparison

E605_Q_7_8 data-theory comparison
E605_Q_8_9 data-theory comparison
E605_Q_10.5_11.5 data-theory comparison
E605_Q_11.5_13.5 data-theory comparison
E605_Q_13.5_18 data-theory comparison
E288_200_Q_4_5 data-theory comparison
E288_200_Q_5_6 data-theory comparison
E288_200_Q_6_7 data-theory comparison
E288_200_Q_7_8 data-theory comparison
E288_200_Q_8_9 data-theory comparison
E288_300_Q_4_5 data-theory comparison
E288_300_Q_5_6 data-theory comparison
E288_300_Q_6_7 data-theory comparison
E288_300_Q_7_8 data-theory comparison
E288_300_Q_8_9 data-theory comparison
E288_300_Q_11_12 data-theory comparison
E288_400_Q_5_6 data-theory comparison
E288_400_Q_6_7 data-theory comparison
E288_400_Q_7_8 data-theory comparison
E288_400_Q_8_9 data-theory comparison
E288_400_Q_11_12 data-theory comparison
E288_400_Q_12_13 data-theory comparison
E288_400_Q_13_14 data-theory comparison
STAR_510 data-theory comparison
CDF_RunI data-theory comparison
CDF_RunII data-theory comparison
D0_RunI data-theory comparison
D0_RunII data-theory comparison
D0_RunIImu data-theory comparison
LHCb_7TeV data-theory comparison
LHCb_8TeV data-theory comparison
LHCb_13TeV data-theory comparison
CMS_7TeV data-theory comparison
CMS_8TeV data-theory comparison
ATLAS_7TeV_y_0_1 data-theory comparison
ATLAS_7TeV_y_1_2 data-theory comparison
ATLAS_7TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_y_0_0.4 data-theory comparison
ATLAS_8TeV_y_0.4_0.8 data-theory comparison
ATLAS_8TeV_y_0.8_1.2 data-theory comparison
ATLAS_8TeV_y_1.2_1.6 data-theory comparison
ATLAS_8TeV_y_1.6_2 data-theory comparison
ATLAS_8TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_Q_46_66 data-theory comparison
ATLAS_8TeV_Q_116_150 data-theory comparison